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Pre-Algebra 23% ~ about 14 out of 60 1. If x is a real number, and if  EMBED Equation then x lies between which two consecutive integers? A. 1 and 2 B. 2 and 3 C. 3 and 4 D. 4 and 5 E. 5 and 6 2. One marble is to be drawn randomly from a bag that contains three red marbles, two blue marbles, and one green marble. What is the probability of drawing a blue marble? F.  EMBED Equation  G.  EMBED Equation  H.  EMBED Equation  J.  EMBED Equation  K.  EMBED Equation  3. If  EMBED Equation , then y = F.  EMBED Equation  G.  EMBED Equation  H.  EMBED Equation  J.  EMBED Equation  K. 3 Elementary Algebra 17% ~ about 10 out of 60 4. For all a > 1, the expression  EMBED Equation  equals: F.  EMBED Equation  G.  EMBED Equation  H.  EMBED Equation  J.  EMBED Equation  K.  EMBED Equation  Intermediate Algebra 15% ~ about 9 out of 60 5. If a < b, then | a  b | is equivalent to which of the following? F. a + b G. -(a + b) H.  EMBED Equation  J. a - b K. -(a - b) Coordinate Geometry 15% ~ about 9 out of 60 6. As shown in the standard (x,y) coordinate plane below, P(6,6) lies on the circle with center (2,3) and radius 5 coordinate units. What are the coordinates of the image of P after the circle is rotated 90 clockwise about the center of the circle? A. (2, 3) B. (3, 2) C. (5,-1) D. (6, 0) E. (7, 3) Plane Geometry 23% ~ about 14 out of 607. In isosceles trapezoid ABCD,  EMBED Equation is parallel to  EMBED Equation , " EMBED Equation BDC measures 25, and " EMBED Equation BCA measures 35. What is the measure of " EMBED Equation DBC ? A. 85 B. 95 C. 105 D. 115 E. 125 8. In the figure below, the area of the larger square is 50 square centimeters and the area of the smaller square is 18 square centimeters. What is x, in centimeters? F. 2 G.  EMBED Equation  H.  EMBED Equation  J. 16 K. 32  Answer Key D. Raising a number to the third power means multiplying that number by itself three times. Students should be able to answer this question without looking at the possible responses by creating a simple table of cubes, where 1^3 = 1, 2^3 = 8 and so on. J. There are six total marbles, which will be our denominator. There are two blue marbles, so the probability is  EMBED Equation.3 which simplifies to  EMBED Equation.3  K.The problem solving strategy is here to cross-multiply and solve for y through algebraic manipulation.  EMBED Equation.3  which leads to:  EMBED Equation.3  and then:  EMBED Equation.3  finally:  EMBED Equation.3  K. The 3 cancels out immediately, and then students need to remember the rules for dividing terms with exponents. The exponents themselves subtract, not divide, so you should be left with an exponent of 2 in the denominator. K. Absolute value means that all answers would be positive. In the specific case of a < b, a b will be a negative number. The negative sign in front of (a b) will cancel the negative result creating a positive number, just as the absolute value would. C. Rotation rules are based on counterclockwise as the standard. So, a 90 clockwise rotation is the same as a 270 deg counterclockwise rotation. 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